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Finding the Fourth Proportional to 60,140.14, 83,002.17 and 34,641.54

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Solution

The fourth proportional to 60,140.14, 83,002.17 and 34,641.54 is: 47,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,140.14 : 83,002.17 = 34,641.54 : x
  2. Step 2: Convert to fraction form
    60,140.14/83,002.17 = 34,641.54/x
  3. Step 3: Cross multiply
    60,140.14x = 83,002.17 × 34,641.54
  4. Step 4: Simplify right side
    60,140.14x = 2,875,322,927.19
  5. Step 5: Solve for x
    x = 2,875,322,927.19/60,140.14
  6. Step 6: Final answer
    x = 47,810.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.